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Finding the Third Proportional to 78,332,887,524 and 117,582,241,002

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Solution

The third proportional to 78,332,887,524 and 117,582,241,002 is: 176,497,813,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,332,887,524 : 117,582,241,002 = 117,582,241,002 : x
  2. Step 2: Convert to fraction form
    78,332,887,524/117,582,241,002 = 117,582,241,002/x
  3. Step 3: Cross multiply
    78,332,887,524x = 117,582,241,002 × 117,582,241,002
  4. Step 4: Simplify right side
    78,332,887,524x = 13,825,583,399,052,410,617,856
  5. Step 5: Solve for x
    x = 13,825,583,399,052,410,617,856/78,332,887,524
  6. Step 6: Final answer
    x = 176,497,813,830.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.